Q: If 3 sinθ + 5 cosθ = 5 , then the value of |5 sinθ – 3 cosθ| is equal to
(A) 5
(B) 3
(C) 4
(D) none of these
Sol. (3sin θ + 5cos θ)2 + (5sin θ – 3cos θ)2 = 34
⇒ 25 + (5sin θ – 3cos θ)2 = 34
|5sin θ – 3cos θ| = 3
Hence (B) is the correct answer.
Science and Education
Q: If 3 sinθ + 5 cosθ = 5 , then the value of |5 sinθ – 3 cosθ| is equal to
(A) 5
(B) 3
(C) 4
(D) none of these
Sol. (3sin θ + 5cos θ)2 + (5sin θ – 3cos θ)2 = 34
⇒ 25 + (5sin θ – 3cos θ)2 = 34
|5sin θ – 3cos θ| = 3
Hence (B) is the correct answer.